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Finding the Fourth Proportional to 3,394.94, 5,091.73 and 929.12

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Solution

The fourth proportional to 3,394.94, 5,091.73 and 929.12 is: 1,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.94 : 5,091.73 = 929.12 : x
  2. Step 2: Convert to fraction form
    3,394.94/5,091.73 = 929.12/x
  3. Step 3: Cross multiply
    3,394.94x = 5,091.73 × 929.12
  4. Step 4: Simplify right side
    3,394.94x = 4,730,800.40
  5. Step 5: Solve for x
    x = 4,730,800.40/3,394.94
  6. Step 6: Final answer
    x = 1,393.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.